Lie n-algebra
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Short description: Generalization of a Lie algebra
In mathematics, a Lie n-algebra is a generalization of a Lie algebra, a vector space with a bracket, to higher order operations. For example, in the case of a Lie 2-algebra, the Jacobi identity is replaced by an isomorphism called a Jacobiator.[1]
See also
References
- ↑ Baez & Crans 2004, 1. Introduction
- Jim Stasheff and Urs Schreiber, Zoo of Lie n-Algebras.
- A post about the paper at the n-category café.
- Baez, John; Crans, Alissa (2004). "Higher-Dimensional Algebra VI: Lie 2-Algebras". Theory and Applications of Categories 12 (15): 492–528. https://eudml.org/doc/124264.
Further reading
- https://ncatlab.org/nlab/show/Lie+2-algebra
- https://golem.ph.utexas.edu/category/2007/08/string_and_chernsimons_lie_3al.html
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